What is the solution for (dy)/(dx)=x^3(1-y) ?

The solution for (dy)/(dx)=x^3(1-y) is y=-e^{-(x^4)/4-c_{1}}+1

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(dy)/(dx)=x^3(1-y)

\frac{d y}{d x} = x^{3} (1 - y)

y = - e^{- \frac{x ^{4}}{4} - c_{1}} + 1

Solution steps

\frac{d y}{d x} = x^{3} (1 - y)

Solve separable ODE:

y = - e^{- \frac{x ^{4}}{4} - c_{1}} + 1

y = - e^{- \frac{x ^{4}}{4} - c_{1}} + 1

\frac{d}{d x} (\frac{2 x ^{2}}{x - 2})

\frac{\partial}{\partial x} (ln (\frac{y ^{6}}{x ^{10}}))

\int 4 x^{2} e^{2 x} d x

\int 8 x e^{5 x} d x

x \to - \infty lim (2^{- x})

What is the solution for (dy)/(dx)=x^3(1-y) ?
The solution for (dy)/(dx)=x^3(1-y) is y=-e^{-(x^4)/4-c_{1}}+1